If the points (2, -3), (k, -1), and (0, 4) are collinear, what is the value of k? A. 10/7 B. 7/10 C. 3 D. -3 Answer: A) 10/7 Explanation: For collinear points, area is 0. ½ |2(-1-4) - (-3)(k-0) + 1(4k - 0)| = 0. Actually, expanded: 2(-5) + 3k + 1(4k) = 0. -10 + 7k = 0 => k = 10/7.

imo class 12 determinants

If the points (2, -3), (k, -1), and (0, 4) are collinear, what is the value of k?

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If the points (2, -3), (k, -1), and (0, 4) are collinear, what is the value of k?

A. 10/7
B. 7/10
C. 3
D. -3

Answer: A) 10/7

Explanation: For collinear points, area is 0. ½ |2(-1-4) - (-3)(k-0) + 1(4k - 0)| = 0. Actually, expanded: 2(-5) + 3k + 1(4k) = 0. -10 + 7k = 0 => k = 10/7.

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